{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SNLD4WU7OLYHP6HLZHTILCUV2M","short_pith_number":"pith:SNLD4WU7","canonical_record":{"source":{"id":"1610.02134","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-07T03:45:03Z","cross_cats_sorted":["cond-mat.str-el","gr-qc","quant-ph"],"title_canon_sha256":"ec01bec356d670d6928b80356e7bb5a8682d569b00ebb779c41c52d8dd536141","abstract_canon_sha256":"55a625be08566331faae1f962801870153c2a3b660e41d556d3d86a46c2b111f"},"schema_version":"1.0"},"canonical_sha256":"93563e5a9f72f077f8ebc9e6858a95d31e55d11d55ced4b4ad178dd188af887a","source":{"kind":"arxiv","id":"1610.02134","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.02134","created_at":"2026-05-18T00:52:22Z"},{"alias_kind":"arxiv_version","alias_value":"1610.02134v2","created_at":"2026-05-18T00:52:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02134","created_at":"2026-05-18T00:52:22Z"},{"alias_kind":"pith_short_12","alias_value":"SNLD4WU7OLYH","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SNLD4WU7OLYHP6HL","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SNLD4WU7","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SNLD4WU7OLYHP6HLZHTILCUV2M","target":"record","payload":{"canonical_record":{"source":{"id":"1610.02134","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-07T03:45:03Z","cross_cats_sorted":["cond-mat.str-el","gr-qc","quant-ph"],"title_canon_sha256":"ec01bec356d670d6928b80356e7bb5a8682d569b00ebb779c41c52d8dd536141","abstract_canon_sha256":"55a625be08566331faae1f962801870153c2a3b660e41d556d3d86a46c2b111f"},"schema_version":"1.0"},"canonical_sha256":"93563e5a9f72f077f8ebc9e6858a95d31e55d11d55ced4b4ad178dd188af887a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:22.652977Z","signature_b64":"qV1ubCIn1U3IZ70EprrKRJQbjqlBDSLKx97yhGWytWlUJJcyhpHBHuV9oPfEQHGgS+MWBTEWkR+muQiPTwkaCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93563e5a9f72f077f8ebc9e6858a95d31e55d11d55ced4b4ad178dd188af887a","last_reissued_at":"2026-05-18T00:52:22.652454Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:22.652454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.02134","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SXsvfjCcdpVVtz9coVEWPQrPXLTwxDuls+cXIz0jkLaF1+1RI2yj6f23ssraVoTZUzUAYNZkmZZX3Cq/WDGyCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T11:05:37.767406Z"},"content_sha256":"9c68273575eb0fb55aa83b2040a79daa021d783eb4e3d55d38c83613580e6380","schema_version":"1.0","event_id":"sha256:9c68273575eb0fb55aa83b2040a79daa021d783eb4e3d55d38c83613580e6380"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SNLD4WU7OLYHP6HLZHTILCUV2M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Loop Quantum Gravity, Exact Holographic Mapping, and Holographic Entanglement Entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Ling-Yan Hung, Muxin Han","submitted_at":"2016-10-07T03:45:03Z","abstract_excerpt":"The relation between Loop Quantum Gravity (LQG) and tensor network is explored from the perspectives of bulk-boundary duality and holographic entanglement entropy. We find that the LQG spin-network states in a space $\\Sigma$ with boundary $\\partial\\Sigma$ is an exact holographic mapping similar to the proposal in arXiv:1309.6282. The tensor network, understood as the boundary quantum state, is the output of the exact holographic mapping emerging from a coarse graining procedure of spin-networks. Furthermore, when a region $A$ and its complement $\\bar{A}$ are specified on the boundary $\\partial"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02134","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yh1+Yo54qLNeDjpDBwZlGWg4EAD8aov5B4Pzd/af7CEfDn/DW9ZOK6bIYN2NtpFsvfjhLWYG3kwOC6LQ44BUDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T11:05:37.767755Z"},"content_sha256":"e0a7a0c890663cbae4886cca82aac9fc2fb64014c18cc4d953eef5eda6c01860","schema_version":"1.0","event_id":"sha256:e0a7a0c890663cbae4886cca82aac9fc2fb64014c18cc4d953eef5eda6c01860"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SNLD4WU7OLYHP6HLZHTILCUV2M/bundle.json","state_url":"https://pith.science/pith/SNLD4WU7OLYHP6HLZHTILCUV2M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SNLD4WU7OLYHP6HLZHTILCUV2M/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-21T11:05:37Z","links":{"resolver":"https://pith.science/pith/SNLD4WU7OLYHP6HLZHTILCUV2M","bundle":"https://pith.science/pith/SNLD4WU7OLYHP6HLZHTILCUV2M/bundle.json","state":"https://pith.science/pith/SNLD4WU7OLYHP6HLZHTILCUV2M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SNLD4WU7OLYHP6HLZHTILCUV2M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SNLD4WU7OLYHP6HLZHTILCUV2M","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"55a625be08566331faae1f962801870153c2a3b660e41d556d3d86a46c2b111f","cross_cats_sorted":["cond-mat.str-el","gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-07T03:45:03Z","title_canon_sha256":"ec01bec356d670d6928b80356e7bb5a8682d569b00ebb779c41c52d8dd536141"},"schema_version":"1.0","source":{"id":"1610.02134","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.02134","created_at":"2026-05-18T00:52:22Z"},{"alias_kind":"arxiv_version","alias_value":"1610.02134v2","created_at":"2026-05-18T00:52:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02134","created_at":"2026-05-18T00:52:22Z"},{"alias_kind":"pith_short_12","alias_value":"SNLD4WU7OLYH","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SNLD4WU7OLYHP6HL","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SNLD4WU7","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:e0a7a0c890663cbae4886cca82aac9fc2fb64014c18cc4d953eef5eda6c01860","target":"graph","created_at":"2026-05-18T00:52:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The relation between Loop Quantum Gravity (LQG) and tensor network is explored from the perspectives of bulk-boundary duality and holographic entanglement entropy. We find that the LQG spin-network states in a space $\\Sigma$ with boundary $\\partial\\Sigma$ is an exact holographic mapping similar to the proposal in arXiv:1309.6282. The tensor network, understood as the boundary quantum state, is the output of the exact holographic mapping emerging from a coarse graining procedure of spin-networks. Furthermore, when a region $A$ and its complement $\\bar{A}$ are specified on the boundary $\\partial","authors_text":"Ling-Yan Hung, Muxin Han","cross_cats":["cond-mat.str-el","gr-qc","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-07T03:45:03Z","title":"Loop Quantum Gravity, Exact Holographic Mapping, and Holographic Entanglement Entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02134","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9c68273575eb0fb55aa83b2040a79daa021d783eb4e3d55d38c83613580e6380","target":"record","created_at":"2026-05-18T00:52:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"55a625be08566331faae1f962801870153c2a3b660e41d556d3d86a46c2b111f","cross_cats_sorted":["cond-mat.str-el","gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-07T03:45:03Z","title_canon_sha256":"ec01bec356d670d6928b80356e7bb5a8682d569b00ebb779c41c52d8dd536141"},"schema_version":"1.0","source":{"id":"1610.02134","kind":"arxiv","version":2}},"canonical_sha256":"93563e5a9f72f077f8ebc9e6858a95d31e55d11d55ced4b4ad178dd188af887a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93563e5a9f72f077f8ebc9e6858a95d31e55d11d55ced4b4ad178dd188af887a","first_computed_at":"2026-05-18T00:52:22.652454Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:22.652454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qV1ubCIn1U3IZ70EprrKRJQbjqlBDSLKx97yhGWytWlUJJcyhpHBHuV9oPfEQHGgS+MWBTEWkR+muQiPTwkaCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:22.652977Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.02134","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c68273575eb0fb55aa83b2040a79daa021d783eb4e3d55d38c83613580e6380","sha256:e0a7a0c890663cbae4886cca82aac9fc2fb64014c18cc4d953eef5eda6c01860"],"state_sha256":"9212257c8dbd4206029e2dbdf31358a85058f54fddfd3bec81f1d17cb0cf2a52"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x2/S79qAFGMjdc0WYKpJU/6sxm2QsTwimSjeKS8cse8NPu7FoWBgH1Ut0aW9HPc36dPe+jU9i1ZZcViGVlChBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T11:05:37.770022Z","bundle_sha256":"6bf8de84a40c917dd54fbed12cab46a7e1b2a6f4e6fbb9174c59c06b0e20487d"}}